Publications related to Numerical Algorithms and High-Performance Computing - CADMOS Chair

A subspace forward iteration method for solving the quadratic eigenproblem associated with the FDE formulation

This paper presents the development of an efficient and numerically stable algorithm for accurately computing the eigensolutions of the quadratic real symmetric eigenproblem arising in the finite dynamic element (FDE) formulation. Closely related to the su ...

1990

A geometric approach to invariant subspaces of orthogonal matrices

This note gives a short, geometrically based, proof that a real orthogonal matrix has a normal form consisting of a direct sum of 1

times 1

and 2

times 2

blocks. ...

1982

Fast Eigenspace Approximation using Random Signals

Lionel Jérémie Martin, Johann Paratte

We focus in this work on the estimation of the first k eigenvectors of any graph Laplacian using filtering of Gaussian random signals. We prove that we only need k such signals to be able to exactly recover as many of the smallest eigenvectors, regardless ...

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